Question

THE LCM OF A NUMBER IS 45 TIMES THEIR HCF.IF ONE OF THE NUMBER IS 225 AND SUM OF THEIR LCM AND HCF IS 1150 FIND THE OTHER NUMBER.

Answer 1

let the lcm be x
let the hcf be y
let the other number be z

x=45y
x+y=1150
45y+y=1150
46y=1150
y=1150/46
y=25

x=45y
x=45×25
x=1125

z×225=1125×25
z=1125×25/225
z=125